42 is what percent of 1561 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1561 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1561, so we can write it down as 100%=1561.
4. We know, that x% equals 42 of the output value, so we can write it down as x%=42.
5. Now we have two simple equations:
1) 100%=1561
2) x%=42
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1561/42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42 is what percent of 1561

100%/x%=1561/42
(100/x)*x=(1561/42)*x       - we multiply both sides of the equation by x
100=37.166666666667*x       - we divide both sides of the equation by (37.166666666667) to get x
100/37.166666666667=x
2.6905829596413=x
x=2.6905829596413

now we have:
42 is 2.6905829596413% of 1561